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Real representations of C2-graded groups : the linear and Hermitian theories

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Rumynin, Dmitriy and Taylor, James (2022) Real representations of C2-graded groups : the linear and Hermitian theories. Higher Structures . (In Press)

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Abstract

We study linear and hermitian representations of finite C2-graded groups. We prove that the category of linear representations is equivalent to a category of antilinear representations as an infinity-category. We also prove that the category hermitian representations, as an ∞-category, is equivalent to a category of usual representations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Higher Structures
Publisher: Macquarie University
ISSN: 2209-0606
Official Date: 2022
Dates:
DateEvent
2022Published
19 August 2021Accepted
Status: Peer Reviewed
Publication Status: In Press
Access rights to Published version: Open Access
Open Access Version:
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